Finding the Fourth Proportional to 1,014.91, 1,522.15 and 429.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.91 : 1,522.15 = 429.71 : x
2. Step 2: Convert to fraction form
   1,014.91/1,522.15 = 429.71/x
3. Step 3: Cross multiply
   1,014.91x = 1,522.15 × 429.71
4. Step 4: Simplify right side
   1,014.91x = 654,074.39
5. Step 5: Solve for x
   x = 654,074.39/1,014.91
6. Step 6: Final answer
   x = 644.47